-5/9 divided by 1/5

Answer 1

To divide \(-\frac{5}{9}\) by \(\frac{1}{5}\), you can multiply by the reciprocal of the second fraction.

The reciprocal of \(\frac{1}{5}\) is \(\frac{5}{1}\).

Now, perform the multiplication:

\[ -\frac{5}{9} \times \frac{5}{1} = -\frac{5 \times 5}{9 \times 1} = -\frac{25}{9} \]

So, \(-\frac{5}{9} \div \frac{1}{5} = -\frac{25}{9}\).